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All results from a given calculation for C9H8 (spiro[4.4]nona-1,3,6,8-tetraene)

using model chemistry: B3LYP/CEP-121G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes D2D 1A1
Energy calculated at B3LYP/CEP-121G
 hartrees
Energy at 0K-55.492170
Energy at 298.15K-55.500189
HF Energy-55.492170
Nuclear repulsion energy194.907160
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at B3LYP/CEP-121G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A1 3217 3135 0.00      
2 A1 3184 3103 0.00      
3 A1 1543 1504 0.00      
4 A1 1383 1348 0.00      
5 A1 1111 1083 0.00      
6 A1 994 968 0.00      
7 A1 851 830 0.00      
8 A1 433 422 0.00      
9 A2 981 956 0.00      
10 A2 757 738 0.00      
11 A2 526 513 0.00      
12 B1 986 961 0.00      
13 B1 809 788 0.00      
14 B1 614 599 0.00      
15 B1 218 212 0.00      
16 B2 3215 3133 29.82      
17 B2 3183 3102 24.90      
18 B2 1526 1487 14.99      
19 B2 1383 1347 0.10      
20 B2 1187 1156 4.56      
21 B2 1060 1033 14.29      
22 B2 979 954 20.90      
23 B2 824 803 13.21      
24 E 3206 3124 28.12      
24 E 3206 3124 28.12      
25 E 3171 3090 6.02      
25 E 3171 3090 6.02      
26 E 1599 1558 0.03      
26 E 1599 1558 0.03      
27 E 1301 1268 1.21      
27 E 1301 1268 1.21      
28 E 1146 1117 0.10      
28 E 1146 1117 0.10      
29 E 1072 1044 17.64      
29 E 1072 1044 17.64      
30 E 978 953 0.12      
30 E 978 953 0.12      
31 E 817 797 0.03      
31 E 817 797 0.03      
32 E 773 753 97.13      
32 E 773 753 97.13      
33 E 512 499 2.45      
33 E 512 499 2.45      
34 E 118 115 1.16      
34 E 118 115 1.16      

Unscaled Zero Point Vibrational Energy (zpe) 30174.3 cm-1
Scaled (by 0.9745) Zero Point Vibrational Energy (zpe) 29404.9 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at B3LYP/CEP-121G
ABC
0.13724 0.04277 0.04277

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/CEP-121G

Point Group is D2d

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 0.000
C2 0.000 1.196 0.973
C3 0.000 -1.196 0.973
C4 1.196 0.000 -0.973
C5 -1.196 0.000 -0.973
C6 0.000 0.746 2.262
C7 0.000 -0.746 2.262
C8 0.746 0.000 -2.262
C9 -0.746 0.000 -2.262
H10 0.000 2.226 0.631
H11 0.000 -2.226 0.631
H12 2.226 0.000 -0.631
H13 -2.226 0.000 -0.631
H14 0.000 1.362 3.156
H15 0.000 -1.362 3.156
H16 1.362 0.000 -3.156
H17 -1.362 0.000 -3.156

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 C8 C9 H10 H11 H12 H13 H14 H15 H16 H17
C11.54191.54191.54191.54192.38172.38172.38172.38172.31342.31342.31342.31343.43773.43773.43773.4377
C21.54192.39262.57832.57831.36562.33093.52853.52851.08493.43922.99272.99272.18993.36344.50964.5096
C31.54192.39262.57832.57832.33091.36563.52853.52853.43921.08492.99272.99273.36342.18994.50964.5096
C41.54192.57832.57832.39263.52853.52851.36562.33092.99272.99271.08493.43924.50964.50962.18993.3634
C51.54192.57832.57832.39263.52853.52852.33091.36562.99272.99273.43921.08494.50964.50963.36342.1899
C62.38171.36562.33093.52853.52851.49154.64514.64512.20273.38993.72513.72511.08622.28955.63645.6364
C72.38172.33091.36563.52853.52851.49154.64514.64513.38992.20273.72513.72512.28951.08625.63645.6364
C82.38173.52853.52851.36562.33094.64514.64511.49153.72513.72512.20273.38995.63645.63641.08622.2895
C92.38173.52853.52852.33091.36564.64514.64511.49153.72513.72513.38992.20275.63645.63642.28951.0862
H102.31341.08493.43922.99272.99272.20273.38993.72513.72514.45163.39103.39102.66964.38764.59894.5989
H112.31343.43921.08492.99272.99273.38992.20273.72513.72514.45163.39103.39104.38762.66964.59894.5989
H122.31342.99272.99271.08493.43923.72513.72512.20273.38993.39103.39104.45164.59894.59892.66964.3876
H132.31342.99272.99273.43921.08493.72513.72513.38992.20273.39103.39104.45164.59894.59894.38762.6696
H143.43772.18993.36344.50964.50961.08622.28955.63645.63642.66964.38764.59894.59892.72356.60026.6002
H153.43773.36342.18994.50964.50962.28951.08625.63645.63644.38762.66964.59894.59892.72356.60026.6002
H163.43774.50964.50962.18993.36345.63645.63641.08622.28954.59894.59892.66964.38766.60026.60022.7235
H173.43774.50964.50963.36342.18995.63645.63642.28951.08624.59894.59894.38762.66966.60026.60022.7235

picture of spiro[4.4]nona-1,3,6,8-tetraene state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C6 109.851 C1 C2 H10 122.493
C1 C3 C7 109.851 C1 C3 H11 122.493
C1 C4 C8 109.851 C1 C4 H12 122.493
C1 C5 C9 109.851 C1 C5 H13 122.493
C2 C1 C3 101.766 C2 C1 C4 113.456
C2 C1 C5 113.456 C2 C6 C7 109.266
C2 C6 H14 126.181 C3 C1 C4 113.456
C3 C1 C5 113.456 C3 C7 C6 109.266
C3 C7 H15 126.181 C4 C1 C5 101.766
C4 C8 C9 109.266 C4 C8 H16 126.181
C5 C9 C8 109.266 C5 C9 H17 126.181
C6 C2 H10 127.656 C6 C7 H15 124.553
C7 C3 H11 127.656 C7 C6 H14 124.553
C8 C4 H12 127.656 C8 C9 H17 124.553
C9 C5 H13 127.656 C9 C8 H16 124.553
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/CEP-121G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.041      
2 C -0.198      
3 C -0.198      
4 C -0.198      
5 C -0.198      
6 C -0.134      
7 C -0.134      
8 C -0.134      
9 C -0.134      
10 H 0.176      
11 H 0.176      
12 H 0.176      
13 H 0.176      
14 H 0.167      
15 H 0.167      
16 H 0.167      
17 H 0.167      


Electric dipole moments


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -53.178 0.000 0.000
y 0.000 -53.178 0.000
z 0.000 0.000 -47.784
Traceless
 xyz
x -2.697 0.000 0.000
y 0.000 -2.697 0.000
z 0.000 0.000 5.395
Polar
3z2-r210.789
x2-y20.000
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.878 0.000 0.000
y 0.000 10.878 0.000
z 0.000 0.000 19.742


<r2> (average value of r2) Å2
<r2> 229.565
(<r2>)1/2 15.151